Submission #1289502

#TimeUsernameProblemLanguageResultExecution timeMemory
1289502hahaK blocks (IZhO14_blocks)C++17
53 / 100
1092 ms38712 KiB
#include <bits/stdc++.h>
#define f first
#define s second
#define ll long long
using namespace std;
const int maxn=1e5+5;
const int MOD=1e9+7;

int n,k;
int a[maxn],L[maxn];
ll dp[maxn][105],tree[4*maxn];
stack<int> st;

void update(int id,int l,int r,int pos,ll val)
{
    if(pos<l||pos>r) return;
    if(l==r){
        tree[id]=val;
        return;
    }
    int mid=(l+r)/2;
    update(id*2,l,mid,pos,val);
    update(id*2+1,mid+1,r,pos,val);
    tree[id]=min(tree[id*2],tree[id*2+1]);
}

ll get(int id,int l,int r,int u,int v)
{
    if(r<u||v<l) return 1e18;
    if(u<=l&&r<=v) return tree[id];
    int mid=(l+r)/2;
    return min(get(id*2,l,mid,u,v),get(id*2+1,mid+1,r,u,v));
}

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);cout.tie(0);
    cin>>n>>k;
    for(int i=1;i<=n;i++){
        cin>>a[i];
    }
    for(int i=1;i<=n;i++){
        while(!st.empty()&&a[st.top()]<=a[i]) st.pop();
        if(!st.empty()) L[i]=st.top()+1;
        else L[i]=1;
        st.push(i);
    }
    for(int i=0;i<=n;i++){
        for(int j=0;j<=n;j++) dp[i][j]=1e18;
    }
    dp[0][0]=0;
    for(int j=1;j<=k;j++){
        for(int i=0;i<=n;i++) update(1,0,n,i,dp[i][j-1]);
        for(int i=1;i<=n;i++){
            dp[i][j]=min(dp[i][j],get(1,0,n,L[i]-1,i-1)+a[i]);
            dp[i][j]=min(dp[i][j],dp[L[i]-1][j]);
        }
    }
    cout<<dp[n][k];
}
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